1) You construct barometers using multiple types of liquid, for each of the following liquids determine the height that would indicate the barometric pressure to be .90 atm. Give all answers to 3 significant digits.

Part 1. Mercury = .684  m

Part 2. Ethanol = 11.5  m

Part 3. Water = 9.30 m

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2) 

A base guitar has 4 strings that are .86 m in length. Each need tuned to vibrate at a different frequency. And each have a mass per unit length of 3.32*10^-3 kg/m

String 1 - 41 Hz

String 2 - 55 Hz

String 3 - 73 Hz

String 4 - 98 Hz

Part 1. What tension must each be tightened to? Give your answers to 3 significant digits

String 1:  16.5 N

String 2:  29.7 N

String 3: 52.3 N

String 4: 94.3   N

Part 2. If instead you wish to tighten the strings such that they all have the same tension, 55 N, what must the mass per unit length of each string be? Give your answers in scientific notation with 3 significant digits

Example: 3.32*10^-3 or 3.32*10^(-3)

String 1:  1.11*10^(-2) kg/m

String 2: 6.15*10^(-3)  kg/m

String 3:  3.49*10^(-3) kg/m

String 4:  1.94*10^(-3) kg/m

PART 3: For the second part where the tension of every string is the same determine what you would expect the diameter of each of the strings to be.

The temperature T in a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (1, 2, 2) is 160°.

(a) Find the rate of change of T at (1, 2, 2) in the direction toward the point (3, 1, 4).

(b) Show that at any point in the ball the direction of greatest increase in temperature is given by a vector that points towards the origin.

1. Find the :

(a) Inverse using explicit Gauss-Jordan elimination

(b) The eigenvalues

(c) Respective eigenvectors

(2 0 -2

0 4 0

-2 0 5)

C4-2 From Recording Transactions (Including Adjusting Journal Entries) to Preparing Financial Statements and Closing Journal Entries (Chapters 2, 3, and 4) [LO 2-3, LO 3-3, LO 4-1, LO 4-2, LO 4-3, LO 4-4, LO 4-5, LO 4-6]

[The following information applies to the questions displayed below.]

Brothers Harry and Herman Hausyerday began operations of their machine shop (H & H Tool, Inc.) on January 1, 2016. The annual reporting period ends December 31. The trial balance on January 1, 2018, follows (the amounts are rounded to thousands of dollars to simplify):

Transactions and events during 2018 (summarized in thousands of dollars) follow:

1. Borrowed $13 cash on March 1 using a short-term note.
2. Purchased land on March 2 for future building site; paid cash, $7.
3. Issued additional shares of common stock on April 3 for $31.
4. Purchased software on July 4, $12 cash.
5. Purchased supplies on account on October 5 for future use, $17.
6. Paid accounts payable on November 6, $14.
7. Signed a $30 service contract on November 7 to start February 1, 2019.
8. Recorded revenues of $176 on December 8, including $48 on credit and $128 collected in cash.
1. Recognized salaries and wages expense on December 9, $93 paid in cash.
10. Collected accounts receivable on December 10, $32.

Data for adjusting journal entries as of December 31:

11. Unrecorded amortization for the year on software, $8.

50. Supplies counted on December 31, 2018, $11.

1000. Depreciation for the year on the equipment, $7.
14. Interest of $2 to accrue on notes payable.
15. Salaries and wages earned but not yet paid or recorded, $11.
16. Income tax for the year was $9. It will be paid in 2019.

C4-2 Part 3

3. Prepare an unadjusted trial balance. (Enter your answers in thousands of dollars.)

Code and document the following functions using NON-RECURSIVE ITERATION only.

Test the functions by calling them from a simple interactive main() function using a menu, with different values used to select the choice of function. Overall, you should have one C program (call it Lab1.c) containing one main() function and 5 other functions, where the functions are called based on an interactive user menu. The program should contain a loop that permits users to enter a new choice of function for each loop, until exit from the loop explicitly.


1
Factorial(0) = 1;

Factorial(n) = n * (n-1) * . . . * 2 * 1

Requirement: n >= 0; reject with error message otherwise
2
Fibonacci(0) = 0;

Fibonacci(1) = 1;

Fibonacci(n) = Fibonacci(n-1) + Fibonacci(n-2);

Requirement: n >= 0; reject with error message otherwise
3
gcd (x, y) = x, if y=0

gcd (x, y) = gcd (y, x MOD y), if y > 0

Requirement: x and y both > 0; reject with error message otherwise
4
Power(a,b) = ??

Requirement: a > 0, b > 0, b is an integer; reject with error message otherwise
5
digProduct (x) = x if x <9

digProduct (x) = rightDigit * digProduct ( x/10)

Requirement: x is an unsigned integer (> 0); reject with error message otherwise


Sample Interaction

Lab 1

1 - int Factorial(int n);

2 - int Fibonacci(int n);

3 - int Gcd(int x, int y);

4 - double Power(int a, int b);

5 – int digProduct (int x);

0 - QUIT

Please enter a selection: 6

Invalid Input.

Lab 1

1 - int Factorial(int n);

2 - int Fibonacci(int n);

3 - int Gcd(int x, int y);

4 - double Power(int a, int b);

5 – int digProduct (int x);

0 - QUIT

Please enter a selection: 1

Enter a positive Integer: 5

Answer: 120

Lab 1   

1 - int Factorial(int n);

2 - int Fibonacci(int n);

3 - int Gcd(int x, int y);

4 - double Power(int a, int b);

5 – int digProduct (int x);

0 - QUIT

Please enter a selection: 4

Enter the first positive Integer: 2

Enter the second positive Integer: 3

Answer: 8

Lab 1

1 - int Factorial(int n);

2 - int Fibonacci(int n);

3 - int Gcd(int x, int y);

4 - double Power(int a, int b);

5 – int digProduct (int x);

0 - QUIT

Please enter a selection: 0

Goodbye!

Lab Reaction Rate and order of a Chemical Reaction

H₃AsO₃ (aq) + I₃^- (aq) + H₂O (l) → HAsO₄^2- (aq) + 3 I^- (aq) + 4H⁺ (aq)

The data has been collected and pre-lab completed. Need help with the results.

Results

            Laboratory temperature: 25°C

DATA TABLE 1:

DATA TABLE 2:

Questions

- Calculate Δ[IO₃^-] = (1/3)[H₃AsO₃]₀ and record in Data Table 2. (Show calculation)

- Calculate the rates and record in Data Table 2 (Show calculations):

Rate=∆[IO3-]∆t

- Obtain the reaction orders with respect to IO₃^-, I^-, and H⁺ by comparing the rates as described in the lab discussion. Show the rates you are comparing.

- Write the rate law for this reaction with the correct values for a, b, and c.

- Calculate the rate constant, k, for Experiments 1, 2, 3, and 4, using the above rate law and the rates and initial concentrations calculated in Data Table 1. (Show calculations)

Experiment 1:

Experiment 2:

Experiment 3:

Experiment 4:

- How does the calculated value for k compare for the first four experiments, all at 25°C?

2) Calculate the rate constant, k, at the higher temperatures used in Experiment 5 and 6. Remember that you used the same initial concentrations as in Experiment 1. (Show calculations)

Experiment 5:_______

Experiment 6:_______

How does k change as the temperature increases?

Explain why the value for k at higher temperatures is different from the experiments at the lower temperature.

The following data show the rankings of 11 states based on expenditure per student (ranked 1 highest to 11 lowest) and student-teacher ratio (ranked 1 lowest to 11 highest). Use Table 1 of Appendix B.

a. What is the rank correlation between expenditure per student and student-teacher ratio (to 2 decimals). Enter negative values as negative numbers.

Rs=

b. At the .05 significance level, does there appear to be a relationship between expenditure per student and student-teacher ratio?

z=

-p value is? (to 4 decimals)

Conclusion:
- Select your answer -We can conclude that there is a significant relationship.We cannot conclude that there is a significant relationship.

TEST THE APPROPRIATE HYPOTHESIS. Include the null and alternate hypotheses, degrees of freedom, test statistic, rejection region, and decision.

You roll a die 48 times. the results as followed

Number 1 2 3 4 5 6

Frequency 4 13 2 14 13 2

Use a significance level of 0.05 to test the claim that the die is fair

1) What is the best estimate for the distance covered between t=2 s and t=10 s by using Romberg integration (based on Trapezoidal rule)? Use three different h values of 2, 4 and 8.

The project will study the coordination of multiple threads using semaphores.

The design should consist of two things:

(1) a list of every semaphore, its purpose, and its initial value, and

(2) pseudocode for each function. Code Your code should be nicely formatted with plenty of comments. The code should be easy to read, properly indented, employ good naming standards, good structure, and should correctly implement the design. Your code should match your pseudocode.

Project Language/Platform

This project must target a Unix platform and execute properly on our cs1 or csgrads1 Linux server.

The project must be written in Java. Elevator Simulation In this project threads are used to simulate people using an elevator to reach their floor.

The threads to be used are as follows: Person:

1) 49 people are in line at the elevator at the beginning of the simulation (1 thread per person).

2) Each person begins at floor 1.

3) Each person randomly picks a floor from 2 to 10.

4) A person will wait for an elevator to arrive at floor 1.

5) A person will board the elevator only if there is room.

6) Once at the destination floor, the person exits the elevator.

Elevator:

1) There is 1 elevator (1 thread for the elevator).

2) The elevator can only hold 7 people.

3) The elevator begins on floor 1.

4) The elevator leaves after the 7th person enters.

Main

1) Creates all threads and joins all person threads.

2) When last person reaches their floor, the simulation ends.

Other rules:

1) Each activity of each thread should be printed with identification (e.g., person 1).

2) A thread may not use sleeping as a means of coordinating with other threads.

3) Busy waiting (polling) is not allowed.

4) Mutual exclusion should be kept to a minimum to allow the most concurrency.

5) The semaphore value may not obtained and used as a basis for program logic.

6) All activities of a thread should only be output by that thread. Sample output:

Your project’s output should match the wording of the sample output:

Elevator door opens at floor 1

Person 0 enters elevator to go to floor 5

Person 1 enters elevator to go to floor 2

Person 2 enters elevator to go to floor 8

Person 3 enters elevator to go to floor 4

Person 4 enters elevator to go to floor 6

Person 5 enters elevator to go to floor 7

Person 6 enters elevator to go to floor 2

Elevator door closes

Elevator door opens at floor 2

Person 1 leaves elevator

Person 6 leaves elevator

Elevator door closes

Elevator door opens at floor 4

Person 3 leaves elevator

Elevator door closes

Elevator door opens at floor 5

Person 0 leaves elevator

Elevator door closes

Elevator door opens at floor 6

Person 4 leaves elevator

Elevator door closes

Elevator door opens at floor 7

Person 5 leaves elevator

Elevator door closes

Elevator door opens at floor 8

Person 2 leaves elevator

Elevator door closes

Elevator door opens at floor 1

…

Simulation done